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Finding the Third Proportional to 39,675 and 59,266.50

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Solution

The third proportional to 39,675 and 59,266.50 is: 88,532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,675 : 59,266.50 = 59,266.50 : x
  2. Step 2: Convert to fraction form
    39,675/59,266.50 = 59,266.50/x
  3. Step 3: Cross multiply
    39,675x = 59,266.50 × 59,266.50
  4. Step 4: Simplify right side
    39,675x = 3,512,518,022.25
  5. Step 5: Solve for x
    x = 3,512,518,022.25/39,675
  6. Step 6: Final answer
    x = 88,532.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.